Atkin-Lehner |
2- 3- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
47268d |
Isogeny class |
Conductor |
47268 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4.483432840905E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,162347721,635540043310] |
[a1,a2,a3,a4,a6] |
Generators |
[38620629936434241336947:12871726806363559996575150:352555658824524121] |
Generators of the group modulo torsion |
j |
2535682117939742768762288/2402388139202343444321 |
j-invariant |
L |
6.6390327898142 |
L(r)(E,1)/r! |
Ω |
0.034616758215183 |
Real period |
R |
31.96444502657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15756d2 |
Quadratic twists by: -3 |